Hostname: page-component-7c8c6479df-5xszh Total loading time: 0 Render date: 2024-03-27T16:30:20.339Z Has data issue: false hasContentIssue false

Radicals and semisimple classes of Ω-groups

Published online by Cambridge University Press:  20 January 2009

Rainer Mlitz
Affiliation:
Institut für Angewandte MathematikTU WienA-1040 WienGusshausstr. 27–29
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper radicals in the sense of Kuroš and Amitsur (KA-radicals) for Ω-groups will be studied. For the sake of simplicity these radicals will be considered on varieties, the results remaining valid for more general classes.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

(1) Divinsky, N. J., Rings and radicals (G. Allen & Unwin Ltd., Univ. of Toronto Press, London/Toronto, 1965).Google Scholar
(2) Hoehnke, H.-J., Radikale in allgemeinen Algebren, Math. Nachr. 32 (1966), 347383.Google Scholar
(3) Holcombe, M. and Walker, R., Radicals in categories—Proc. Edinburgh Math. Soc. 21 (1978), 111128.Google Scholar
(4) Leavitt, W. G. and Armendariz, E. P., Nonhereditary semisimple classes, Proc. Amer. Math. Soc. 18 (1967), 11141117.Google Scholar
(5) van Leeuwen, L. C. A., Roos, C. and Wiegandt, R., Characterizations of semisimple classes, J. Austral. Math. Soc. 23 (1977), 172182.Google Scholar
(6) Leavitt, W. G. and Wiegandt, R., Torsion theory for not necessarily associative rings, Rocky Mountain J. Math. 9 (1979), 259272.Google Scholar
(7) van Leeuwen, L. C. A. and Wiegandt, R., Radicals, semisimple classes and torsion theories, (manuscript).Google Scholar
(8) Wiegandt, R., Radical and semisimple classes of rings, Queen's Papers in pure and applied Math. 37 (Queen's University, Kingston, 1974).Google Scholar